Finding the Fourth Proportional to 10,702.56, 16,056.24 and 3,777.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,702.56 : 16,056.24 = 3,777.60 : x
2. Step 2: Convert to fraction form
   10,702.56/16,056.24 = 3,777.60/x
3. Step 3: Cross multiply
   10,702.56x = 16,056.24 × 3,777.60
4. Step 4: Simplify right side
   10,702.56x = 60,654,052.22
5. Step 5: Solve for x
   x = 60,654,052.22/10,702.56
6. Step 6: Final answer
   x = 5,667.25